GLOBAL CONVERGENCE OF THE HOPFIELD NEURAL-NETWORK WITH NONZERO DIAGONAL ELEMENTS

被引：19

作者：

ABE, S ^{[1
]}

GEE, AH ^{[1
]}

机构：

[1] UNIV CAMBRIDGE,DEPT ENGN,CAMBRIDGE,ENGLAND

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING | 1995年 / 42卷 / 01期

关键词：

D O I：

10.1109/82.363543

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper we derive stability conditions of local minima and their convergence regions of the Hopfield neural network when the diagonal elements of the coefficient matrix are all nonzero. Then for the traveling salesman problem (TSP) we clarify the ranges of the weight values in the energy function and the range of values of the diagonal elements, so that the feasible solutions become stable and infeasible solutions become unstable, Simulations of the TSP show that the above criteria are valid and, by gradually decreasing diagonal elements, quality of solutions is drastically improved, compared with that of zero diagonal elements.

引用

页码：39 / 45

页数：7

共 10 条

[1] GLOBAL CONVERGENCE AND SUPPRESSION OF SPURIOUS STATES OF THE HOPFIELD NEURAL NETWORKS [J].